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Mathematics
NECO SSCE 2008
Number and Numeration
The ages of 10 students in a class are; 15, 16, 15.5, 17, 14.9, 14.5, 14.1, 15.1, 14.8. find the range of their ages.
A
6.1
B
4.8
C
2.9
D
2.1
E
1.9
medium Difficulty
Verified Correct Answer: Option C
Step-by-Step Mathematical Solution
No expanded working has been attached for this question yet. The verified answer is Option C.
Source: Myschool Past Questions Archive (Record #42578)
Mathematics
NECO SSCE 2008
Algebra
Solution
If the 3rd and the 5th terms of an A.P are 6 and 10 respectively, find the 1st term and the common difference respectively.
A
1, 2
B
2, 2
C
2, 3
D
3, 2
E
3,3
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
Given the 3rd and 5th terms of an A.P. are 6 and 10 respectively, we have:
The formula for the \( n \)-th term of an A.P. is given by:
\(T_n = a + (n-1)d\)
where \( a \) is the first term and \( d \) is the common difference.
For the 3rd term:
\(T_3 = a + 2d = 6 \quad \text{(Equation 1)}\)
For the 5th term:
\(T_5 = a + 4d = 10 \quad \text{(Equation 2)}\)
From these equations, we have:
\(a + 2d = 6 \tag{1}\)
\(a + 4d = 10 \tag{2}\)
Subtract Equation 1 from Equation 2:
\((a + 4d) - (a + 2d) = 10 - 6\)
This simplifies to:
\(2d = 4\)
Thus,
\(d = 2\)
Substituting \( d = 2 \) into Equation 1:
\(a + 2(2) = 6\)
This simplifies to:
\(a + 4 = 6\)
Thus,
\(a = 2\)
The first term \( a \) is \( 2 \) and the common difference \( d \) is \( 2 \).
Source: Myschool Past Questions Archive (Record #42580)
Mathematics
NECO SSCE 2008
Geometry and Trigonometry
Solution
A pair of shoes was sold for N2,250.00 at a loss of 10%. What was the cost price?
A
N750.00
B
N2,500.00
C
N2,538.00
D
N3,288.00
E
N4,038.00
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
Using: CP = \(\frac{SP \times 100}{100 − L%}\)
L% = 10
SP = 2250
CP = \(\frac{2250 \times 100}{100 − 10}\) = \(\frac{225000}{90}\) = #2500
Source: Myschool Past Questions Archive (Record #42583)
Mathematics
NECO SSCE 2008
Number and Numeration
Find the coefficient of xy in the expansion of (x - 4y)(3x + 2y)
A
14
B
12
C
10
D
-10
E
-12
medium Difficulty
Verified Correct Answer: Option D
Step-by-Step Mathematical Solution
No expanded working has been attached for this question yet. The verified answer is Option D.
Source: Myschool Past Questions Archive (Record #42587)
Mathematics
NECO SSCE 2008
Algebra
Which of the following angular inequalities defines an obtuse angle?
A
0° < x < 90°
B
0° ≤ x > 180°
C
90° < x < 180°
D
90° ≤ x < 180°
E
90° > x < 180°
medium Difficulty
Verified Correct Answer: Option C
Step-by-Step Mathematical Solution
No expanded working has been attached for this question yet. The verified answer is Option C.
Source: Myschool Past Questions Archive (Record #42594)
Mathematics
NECO SSCE 2008
Number and Numeration
If y + \(\frac{1}{y}\) = 9, evaluate y2 + \(\frac{1}{y^2}\)
A
27
B
38
C
54
D
63
E
79
medium Difficulty
Verified Correct Answer: Option E
Step-by-Step Mathematical Solution
No expanded working has been attached for this question yet. The verified answer is Option E.
Source: Myschool Past Questions Archive (Record #42625)
Mathematics
NECO SSCE 2008
Number and Numeration
Solution
If N25,000.00 is kept in a bank at the rate of 2% simple interest, how much will it amount to at the end of 5 years?
A
N2,500.00
B
N5,000.00
C
N12,500.00
D
N27,500.00
E
N125,000.00
medium Difficulty
Verified Correct Answer: Option D
Step-by-Step Mathematical Solution
Simple Interest = Principal x Rate x Time
Where: Principal = N25,000, Rate = 2% or 0.02 and Time = 5 years
Plugging in the values:
Simple Interest = N25,000 x 0.02 x 5 Simple Interest = N25,000 x 0.1 Simple Interest = N2,500
To find the total amount at the end of 5 years, we add the simple interest to the principal:
Total Amount = Principal + Simple Interest Total Amount = N25,000 + N2,500 Total Amount = N27,500
Therefore, at the end of 5 years, the total amount would be N27,500.
Source: Myschool Past Questions Archive (Record #42629)
Mathematics
NECO SSCE 2008
Algebra
Construct a quadratic equation whose roots are -\(\frac{3}{2}\) and 7
A
3x2 + 11x + 21 = 0
B
2x2 + 11x + 21 = 0
C
2x2 - 11x – 21 = 0
D
3x2 - 11x - 21 = 0
E
x2 - 11x – 21 = 0
medium Difficulty
Verified Correct Answer: Option C
Step-by-Step Mathematical Solution
No expanded working has been attached for this question yet. The verified answer is Option C.
Source: Myschool Past Questions Archive (Record #42634)
Mathematics
NECO SSCE 2008
Geometry and Trigonometry
A chord XY of a circle with centre O and radius 5.32cm has ∠XOY = 140°. What is the length of the chord to the nearest centimetre?
A
10cm
B
6cm
C
5cm
D
3cm
E
1cm
medium Difficulty
Verified Correct Answer: Option A
Step-by-Step Mathematical Solution
No expanded working has been attached for this question yet. The verified answer is Option A.
Source: Myschool Past Questions Archive (Record #42639)
Mathematics
NECO SSCE 2008
Number and Numeration
Rationalize the expression \(\frac{(7 - \sqrt{3})}{(13 - \sqrt{3})}\)
A
(44 + 3\(\sqrt{3}\)) ÷ 83
B
(44 + 2\(\sqrt{3}\)) ÷ 83
C
(44 - 3\(\sqrt{3}\)) ÷ 83
D
(44 - 4\(\sqrt{3}\)) ÷ 83
E
(44 - 2\(\sqrt{3}\)) ÷ 83
medium Difficulty
Verified Correct Answer: Option C
Step-by-Step Mathematical Solution
No expanded working has been attached for this question yet. The verified answer is Option C.
Source: Myschool Past Questions Archive (Record #42649)
Mathematics
NECO SSCE 2008
Geometry and Trigonometry
In proving the congruence of two triangles, which of the following is not important?
A
two sides and the included angles
B
two angles and a side
C
three sides
D
three angles
E
right angle, hypotenuse and another side
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
No expanded working has been attached for this question yet. The verified answer is Option B.
Source: Myschool Past Questions Archive (Record #42651)
Mathematics
NECO SSCE 2008
Geometry and Trigonometry
If tan α = \(\frac{1}{2}\) and tan β = \(\frac{1}{3}\) and both α and β are acute, find tan (α + β).
A
0.015
B
1
C
10
D
39.81
E
45
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
No expanded working has been attached for this question yet. The verified answer is Option B.
Source: Myschool Past Questions Archive (Record #42657)
Mathematics
NECO SSCE 2008
Number and Numeration
Multiply (3\(\sqrt{a}\) - 4a) by (4a + 3\(\sqrt{a}\))
A
9a + 16a2
B
9a – 16a2
C
3a + 16a2
D
3a - 16a2
E
a - 16a2
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
No expanded working has been attached for this question yet. The verified answer is Option B.
Source: Myschool Past Questions Archive (Record #42658)
Mathematics
NECO SSCE 2008
Statistics and Probability
The median of a distribution can be estimated from
A
Barchart
B
Cumulative frequency curve
C
Frequency polygon
D
Pictorial
E
Pie chart
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
No expanded working has been attached for this question yet. The verified answer is Option B.
Source: Myschool Past Questions Archive (Record #42660)
Mathematics
NECO SSCE 2008
Number and Numeration
If A = \(\frac{1}{2}\)h (a + b), make ‘a’ the subject of the formula
A
(2A – 2bh) ÷ b
B
(2A – bh) ÷ h
C
(2A – bh) ÷ b
D
(A – 2bh) ÷ h
E
(2A – h) ÷ bh
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
No expanded working has been attached for this question yet. The verified answer is Option B.
Source: Myschool Past Questions Archive (Record #42661)